Mathematics and the Unexpected

Author: Ivar Ekeland

Publisher: University of Chicago Press

ISBN: 9780226199900

Category: Mathematics

Page: 146

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"Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist "In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice
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Mathematics and the Aesthetic

New Approaches to an Ancient Affinity

Author: Nathalie Sinclair,William Higginson

Publisher: Springer Science & Business Media

ISBN: 9780387381459

Category: Mathematics

Page: 288

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This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.
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Mathematics and the Body

Material Entanglements in the Classroom

Author: Elizabeth de Freitas,Nathalie Sinclair

Publisher: Cambridge University Press

ISBN: 1107039487

Category: Education

Page: 312

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This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
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Digital Youth, Innovation, and the Unexpected

Author: Tara McPherson

Publisher: MIT Press

ISBN: 0262134950

Category: Education

Page: 259

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How emergent practices and developments in young people's digital media can result intechnological innovation or lead to unintended learning experiences and unanticipated socialencounters.
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Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: OUP Oxford

ISBN: 9780191579417

Category: Mathematics

Page: 160

View: 3394

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The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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Mathematics

Author: Timothy Gowers

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402768972

Category: Mathematics

Page: 180

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Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.
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Energy and the Unexpected

Author: Keith James Laidler

Publisher: Oxford University Press, USA

ISBN: 9780198525165

Category: Language Arts & Disciplines

Page: 146

View: 5038

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Only in the early 19th century did scientists recognize that energy is a distinct physical quantity. Since then, however, it has played a pivotal role in the advancement and the understanding of science and in technology. From the steam engine to the equation e=mc2 and beyond, the concept of energy offers an essential key to our understanding of the Universe. In this entertaining and highly readable book, Professor Laidler explains the concept of energy and its characteristics as theywere discovered over the past two centuries. He describes how energy transformations, as interpreted by the second law of thermodynamics, are not absolute but can only be understood in terms of chance and probability. After looking at energy on a small scale and then at the scale of the Universe itself, he shows how these topics are linked with chaos theory according to which the unexpected is inevitable. Written for the general reader with an interest in science, the development and interrelationship of the concepts of energy, chance and chaos are set in their historical context, and illuminated by accounts of the key scientists involved and of some of their investigations.
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The Post-human Condition

Author: Robert Pepperell

Publisher: Intellect Books

ISBN: 9781871516456

Category: Technology & Engineering

Page: 206

View: 3751

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This work challenges many of the humanist assumptions of Western philosophy, science and art. It proposes a view of the human condition building on the findings of quantum theory, chaos theory, catastrophe theory, cybernetics, cyberpunk and New Ageism, taking into account current scientific and technological developments.
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Complex Economic Dynamics: An introduction to macroeconomic dynamics

Author: Richard Hollis Day

Publisher: MIT Press

ISBN: 9780262041720

Category: Business & Economics

Page: 400

View: 6287

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Richard H. Day was one of the first economists to recognize the importance of complex dynamics, or chaos theory, to economics. He can justly be described as one of the originators of the now extensive economic literature on chaos.The two volumes of Complex Economic Dynamics show that, far from being a passing trend in economic research, complex dynamics belongs at the heart of the subject. Although they can be read independently, the volumes follow a logical sequence. Volume 1 contained nontechnical introductions to the basics of economic change and to the mathematical and theoretical tools used to describe them. Volume 2, which is concerned with macroeconomic dynamics, looks at the economy as a whole. Topics include business cycles, economic growth, economic development, and dynamical economic science and policy. The book concludes with the author's reflections on the implications of complex dynamics for economic theory, quantitative research, and government policy.
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